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Finding the Third Proportional to 8,410 and 18,027

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Solution

The third proportional to 8,410 and 18,027 is: 38,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410 : 18,027 = 18,027 : x
  2. Step 2: Convert to fraction form
    8,410/18,027 = 18,027/x
  3. Step 3: Cross multiply
    8,410x = 18,027 × 18,027
  4. Step 4: Simplify right side
    8,410x = 324,972,729
  5. Step 5: Solve for x
    x = 324,972,729/8,410
  6. Step 6: Final answer
    x = 38,641.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.